120121212100000 has 144 divisors (see below), whose sum is σ = 297123488176536. Its totient is φ = 47799521280000.

The previous prime is 120121212099971. The next prime is 120121212100027. The reversal of 120121212100000 is 1212121021.

It can be written as a sum of positive squares in 12 ways, for example, as 72163869684624 + 47957342415376 = 8494932^2 + 6925124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16188052 + ... + 22411948.

Almost surely, 2^{120121212100000} is an apocalyptic number.

120121212100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561744088268).

120121212100000 is an abundant number, since it is smaller than the sum of its proper divisors (177002276076536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120121212100000 is an frugal number, since it uses more digits than its factorization.

120121212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224125 (or 6224097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120121212100000 its reverse (1212121021), we get a palindrome (120122424221021).

The spelling of 120121212100000 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred thousand".